Electrical oscillations occur in a circuit consisting of a self-induction coil and a capacitor. The maximum potential

Electrical oscillations occur in a circuit consisting of a self-induction coil and a capacitor. The maximum potential difference across the capacitor plates is 100V, while a current of 0.05A flows through the circuit, determine the capacitance of the capacitor and the inductance of the coil if the oscillation period is 6.28 • 10 -3 degree s

We know that:
U = 100 B;
I = 0.05 A;
T = 6.28 * 10 ^ -3 s;
To find a solution to the problem, we use the formula:
T = 2 * π * √ (L * C);
We also need a formula:
C * U² / 2 = L * I² / 2;
We get:
C = T * I / (2 * π * U);
Let’s substitute:
С = 6.28 * 10 ^ -3 * 0.05 / (2 * 3.14 * 100);
Let’s count:
C = 50 * 10 ^ -9 F;
We get:
C = 50 nF;
Also:
L = C * U² / I²;
We get:
L = 50 * 10 ^ -9 * 10 ^ 4/5 * 10 ^ -4;
L = 1 H;
Answer: L = 1 G.